Hi again,
Once you have the result in the form
In[]:= gridpos = GeoGridPosition[GeoPosition[{40, -90}], proj]
Out[]= GeoGridPosition[{702.282, 476.602}, {"Stereographic", ...}]
you can recover the latlon form using
In[]:= GeoPosition[gridpos]
Out[]= GeoPosition[{40., -90.}]
The property "Data" can also be used to extract the coordinate numbers from a GeoPosition object.